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Finding the Fourth Proportional to 2,203.70, 3,041.40 and 1,417.59

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Solution

The fourth proportional to 2,203.70, 3,041.40 and 1,417.59 is: 1,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.70 : 3,041.40 = 1,417.59 : x
  2. Step 2: Convert to fraction form
    2,203.70/3,041.40 = 1,417.59/x
  3. Step 3: Cross multiply
    2,203.70x = 3,041.40 × 1,417.59
  4. Step 4: Simplify right side
    2,203.70x = 4,311,458.23
  5. Step 5: Solve for x
    x = 4,311,458.23/2,203.70
  6. Step 6: Final answer
    x = 1,956.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.